A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.6; 2.8; 3.0; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

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O S.I.A. Best Songs V x
O Syllabus for Statistics
* Hmwk: Chapter 8 - Mat x
My Questions | bartleby x
= 6.1 The Standard Norm x
Bookmarks
A webassign.net/web/Student/Assignment-Responses/last?dep=25262768
A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug
on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.6; 2.8; 3.0; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.
NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption,
though.)
O Part (a)
(i) Round your answer to two decimal places.
(rounded to two decimal places)
(ii) Round your answer to two decimal places.
Sy =
(rounded to two decimal places)
(iii) Enter an exact number as an integer, fraction, or decimal.
n =
(iv) Enter an exact number as an integer, fraction, or decimal.
n-1 =
+ Part (b)
O Part (c)
O Part (d)
Which distribution should you use for this problem? (Enter your answer in the form z or tf where df is the degrees of freedom.)
Explain your choice.
The Student's t-distribution should be used because the sample standard deviation is known and the sample size is small.
O The standard normal distribution should be used because the population standard deviation is known.
The Student's t-distribution should be used because the sample size is small.
Transcribed Image Text:O S.I.A. Best Songs V x O Syllabus for Statistics * Hmwk: Chapter 8 - Mat x My Questions | bartleby x = 6.1 The Standard Norm x Bookmarks A webassign.net/web/Student/Assignment-Responses/last?dep=25262768 A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.6; 2.8; 3.0; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) (i) Round your answer to two decimal places. (rounded to two decimal places) (ii) Round your answer to two decimal places. Sy = (rounded to two decimal places) (iii) Enter an exact number as an integer, fraction, or decimal. n = (iv) Enter an exact number as an integer, fraction, or decimal. n-1 = + Part (b) O Part (c) O Part (d) Which distribution should you use for this problem? (Enter your answer in the form z or tf where df is the degrees of freedom.) Explain your choice. The Student's t-distribution should be used because the sample standard deviation is known and the sample size is small. O The standard normal distribution should be used because the population standard deviation is known. The Student's t-distribution should be used because the sample size is small.
O S.I.A. Best Songs V x
O Syllabus for Statistics w X
* Hmwk: Chapter 8 - Mat x
My Questions | bartleby x
= 6.1 The Standard Norm x
Bookmarks
A webassign.net/web/Student/Assignment-Responses/last?dep=25262768
O Part (e)
Construct a 95% confidence interval for the population mean length of time.
(i) State the confidence interval. (Round your answers to two decimal places.)
(ii) Sketch the graph.
a
C.L. =
%3D
(iii) Calculate the error bound. (Round your answer to two decimal places.)
O Part (f)
What does it mean to be "95% confident" in this problem?
O This means that the chances of a tranquilizer being effective is 95%.
We are 95% confident that the effectiveness of a tranquilizer lies between the interval values.
This means that if intervals are created from repeated samples, 95% of them will contain the true population average length of effectiveness of tranquilizers.
O This means that we are 95% confident that the average length of effectiveness of tranquilizers in the sample of 9 people is between the interval values.
Transcribed Image Text:O S.I.A. Best Songs V x O Syllabus for Statistics w X * Hmwk: Chapter 8 - Mat x My Questions | bartleby x = 6.1 The Standard Norm x Bookmarks A webassign.net/web/Student/Assignment-Responses/last?dep=25262768 O Part (e) Construct a 95% confidence interval for the population mean length of time. (i) State the confidence interval. (Round your answers to two decimal places.) (ii) Sketch the graph. a C.L. = %3D (iii) Calculate the error bound. (Round your answer to two decimal places.) O Part (f) What does it mean to be "95% confident" in this problem? O This means that the chances of a tranquilizer being effective is 95%. We are 95% confident that the effectiveness of a tranquilizer lies between the interval values. This means that if intervals are created from repeated samples, 95% of them will contain the true population average length of effectiveness of tranquilizers. O This means that we are 95% confident that the average length of effectiveness of tranquilizers in the sample of 9 people is between the interval values.
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